Question 1

Determine whether the two given lines are perpendicular.
-3x - 8y = 18 48x + 12y = 18

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 2

Solve the problem.
-Create a linear function whose graph has a slope of $- 4$ and a $y$-intercept at $\left( 0 , \frac { 5 } { 4 } \right)$.

Accepted Answer

A)  $f ( x ) = - \frac { 5 } { 4 } x + 4$ 
B)  $f ( x ) = - 4 x + \frac { 5 } { 4 }$ 
C)  $f ( x ) = 4 x + \frac { 5 } { 4 }$ 
D)  $f ( x ) = \frac { 5 } { 4 } x - 4$ 
A)  $f ( x ) = - \frac { 5 } { 4 } x + 4$ 
B)  $f ( x ) = - 4 x + \frac { 5 } { 4 }$ 
C)  $f ( x ) = 4 x + \frac { 5 } { 4 }$ 
D)  $f ( x ) = \frac { 5 } { 4 } x - 4$

Question 3

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.
-Perpendicular to $y = - \frac { 1 } { 5 } x - 6$

Accepted Answer

A)  $- \frac { 1 } { 5 }$ 
B)  5 
C)  $\frac { 1 } { 5 }$ 
D)  $- 5$ 
A)  $- \frac { 1 } { 5 }$ 
B)  5 
C)  $\frac { 1 } { 5 }$ 
D)  $- 5$

Question 4

Determine whether the two given lines are perpendicular.
-$$- 3 x + 9 y = 27$$

Accepted Answer

A)  $- \frac { 1 } { 3 } ; ( 0 , - 3 )$ 
B)  $- 3 ; ( 0,3 )$ 
C)  $3 ; ( 0 , - 3 )$ 
D)  $\frac { 1 } { 3 } ; ( 0,3 )$ 
A)  $- \frac { 1 } { 3 } ; ( 0 , - 3 )$ 
B)  $- 3 ; ( 0,3 )$ 
C)  $3 ; ( 0 , - 3 )$ 
D)  $\frac { 1 } { 3 } ; ( 0,3 )$

Question 5

Provide an appropriate response.
-Find a linear function f(x) with slope -3 such that f(7) = -3.

Accepted Answer

A)  f(x) = -3x + 16 
B)  f(x) = -3x + 19 
C)  f(x) = 3x + 17 
D)  f(x) = -3x + 18 
A)  f(x) = -3x + 16 
B)  f(x) = -3x + 19 
C)  f(x) = 3x + 17 
D)  f(x) = -3x + 18

Question 6

Determine whether the given lines are parallel, perpendicular, or neither.
-$$\begin{array} { l } 
8 x + 9 y = - 17 \
y = - \frac { 8 } { 9 } x - 14
\end{array}$$

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 7

Solve the problem.

-An investment is worth $3654 in 1993. By 1997 it has grown to $5394. Let y be the value of the investment in the year x, where x = 0 represents 1993. Write a linear equation that models the
Value of the investment (y) in the year x.

Accepted Answer

A)  $y = \frac { 1 } { 435 } x + 3654$ 
B)  $y = - 435 x + 7134$ 
C)  $y = - 435 x + 3654$ 
D)  $y = 435 x + 3654$ 
A)  $y = \frac { 1 } { 435 } x + 3654$ 
B)  $y = - 435 x + 7134$ 
C)  $y = - 435 x + 3654$ 
D)  $y = 435 x + 3654$

Question 8

Solve the problem.

-What is the difference between the graphs of y < mx + b and y ≤ mx + b?

Accepted Answer

The boundary line of

Question 9

Determine whether the given lines are parallel, perpendicular, or neither.
-y = 9 y = -2

Accepted Answer

A)  Perpendicular 
B)  Parallel 
C)  Neither 
A)  Perpendicular 
B)  Parallel 
C)  Neither

Question 10

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through
the given point.
-Perpendicular to $\mathrm { y } = \frac { 1 } { 4 }$, through $( 7,5 )$

Accepted Answer

A)  $\mathrm { y } = 7$ 
B)  $x = 7$ 
C)  $y = 5$ 
D)  $x = 5$ 
A)  $\mathrm { y } = 7$ 
B)  $x = 7$ 
C)  $y = 5$ 
D)  $x = 5$

Question 11

Determine whether the given lines are parallel, perpendicular, or neither.
-y + 16 = -4x 6y = 36x - 14

Accepted Answer

A)  Parallel 
B)  Neither 
C)  Perpendicular 
A)  Parallel 
B)  Neither 
C)  Perpendicular

Question 12

Determine whether the two given lines are perpendicular.
-$$5 x + 7 y = 48$$

Accepted Answer

A)  $- \frac { 5 } { 7 } ; \left( 0 , \frac { 48 } { 7 } \right)$ 
B)  $1 \frac { 2 } { 5 } ; \left( 0 , \frac { 7 } { 48 } \right)$ 
C)  $- 1 \frac { 2 } { 5 } ; \left( 0 , \frac { 7 } { 48 } \right)$ 
D)  $\frac { 5 } { 7 } ; \left( 0 , \frac { 48 } { 7 } \right)$ 
A)  $- \frac { 5 } { 7 } ; \left( 0 , \frac { 48 } { 7 } \right)$ 
B)  $1 \frac { 2 } { 5 } ; \left( 0 , \frac { 7 } { 48 } \right)$ 
C)  $- 1 \frac { 2 } { 5 } ; \left( 0 , \frac { 7 } { 48 } \right)$ 
D)  $\frac { 5 } { 7 } ; \left( 0 , \frac { 48 } { 7 } \right)$

Question 13

Write the equation in slope-intercept form.
-$$5 x + 9 y = 37$$

Accepted Answer

A)  $y = - \frac { 5 } { 9 } x + \frac { 37 } { 9 }$ 
B)  $y = \frac { 9 } { 5 } x + \frac { 9 } { 37 }$ 
C)  $y = \frac { 5 } { 9 } x + \frac { 37 } { 9 }$ 
D)  $y = - \frac { 9 } { 5 } x + \frac { 9 } { 37 }$ 
A)  $y = - \frac { 5 } { 9 } x + \frac { 37 } { 9 }$ 
B)  $y = \frac { 9 } { 5 } x + \frac { 9 } { 37 }$ 
C)  $y = \frac { 5 } { 9 } x + \frac { 37 } { 9 }$ 
D)  $y = - \frac { 9 } { 5 } x + \frac { 9 } { 37 }$

Question 14

Solve the problem.
-2x = 3y - 3 6y = 6 - 4x

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 15

Determine whether the given lines are parallel, perpendicular, or neither.
-y = x + 7 x + y = 0

Accepted Answer

A)  Neither 
B)  Perpendicular 
C)  Parallel 
A)  Neither 
B)  Perpendicular 
C)  Parallel

Question 16

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope $- 3$, through $( 3,2 )$

Accepted Answer

A)  $y = - 3 x + \frac { 1 } { 11 }$ 
B)  $y = - 3 x + 11$ 
C)  $y = - \frac { 1 } { 3 } x + 11$ 
D)  $y = - 3 x - 11$ 
A)  $y = - 3 x + \frac { 1 } { 11 }$ 
B)  $y = - 3 x + 11$ 
C)  $y = - \frac { 1 } { 3 } x + 11$ 
D)  $y = - 3 x - 11$

Question 17

Write the equation in slope-intercept form.
-$$9 x + 7 y = 64$$

Accepted Answer

A)  $y = \frac { 7 } { 9 } x + \frac { 7 } { 64 }$ 
B)  $y = \frac { 9 } { 7 } x + \frac { 64 } { 7 }$ 
C)  $y = - \frac { 7 } { 9 } x + \frac { 7 } { 64 }$ 
D)  $y = - \frac { 9 } { 7 } x + \frac { 64 } { 7 }$ 
A)  $y = \frac { 7 } { 9 } x + \frac { 7 } { 64 }$ 
B)  $y = \frac { 9 } { 7 } x + \frac { 64 } { 7 }$ 
C)  $y = - \frac { 7 } { 9 } x + \frac { 7 } { 64 }$ 
D)  $y = - \frac { 9 } { 7 } x + \frac { 64 } { 7 }$

Question 18

Provide an appropriate response.
-Find a linear function f(x) with slope -3 such that f(-9) = 6.

Accepted Answer

A)  f(x) = -3x - 29 
B)  f(x) = 3x - 23 
C)  f(x) = -3x - 21 
D)  f(x) = -3x - 22 
A)  f(x) = -3x - 29 
B)  f(x) = 3x - 23 
C)  f(x) = -3x - 21 
D)  f(x) = -3x - 22

Question 19

Determine whether the given lines are parallel, perpendicular, or neither.
-y = 6x + 3 y = 6x - 2

Accepted Answer

A)  Parallel 
B)  Neither 
C)  Perpendicular 
A)  Parallel 
B)  Neither 
C)  Perpendicular

Question 20

Find the equation of a line with the given slope and y-intercept.
-Slope $- \frac { 4 } { 5 } , \mathrm { y }$-intercept $( 0,9 )$

Accepted Answer

A)  $y = \frac { 4 } { 5 } x - 9$ 
B)  $y = - \frac { 4 } { 5 } x + 9$ 
C)  $y = - \frac { 4 } { 5 } x - 9$ 
D)  $y = \frac { 4 } { 5 } x + 9$ 
A)  $y = \frac { 4 } { 5 } x - 9$ 
B)  $y = - \frac { 4 } { 5 } x + 9$ 
C)  $y = - \frac { 4 } { 5 } x - 9$ 
D)  $y = \frac { 4 } { 5 } x + 9$

Determine whether the two given lines are perpendicular. -3x - 8y = 18 48x + 12y = 18

Solve the problem. -Create a linear function whose graph has a slope of $- 4$ and a $y$ -intercept at $\left( 0 , \frac { 5 } { 4 } \right)$ .

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Perpendicular to $y = - \frac { 1 } { 5 } x - 6$

Determine whether the two given lines are perpendicular. - $- 3 x + 9 y = 27$

Provide an appropriate response. -Find a linear function f(x) with slope -3 such that f(7) = -3.

Determine whether the given lines are parallel, perpendicular, or neither. - 8x+9y=-17 y=-x-14

Solve the problem. -An investment is worth $3654 in 1993. By 1997 it has grown to $5394. Let y be the value of the investment in the year x, where x = 0 represents 1993. Write a linear equation that models the Value of the investment (y) in the year x.

Solve the problem. -What is the difference between the graphs of y < mx + b and y ≤ mx + b?

Determine whether the given lines are parallel, perpendicular, or neither. -y = 9 y = -2

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to $\mathrm { y } = \frac { 1 } { 4 }$ , through $( 7,5 )$

Determine whether the given lines are parallel, perpendicular, or neither. -y + 16 = -4x 6y = 36x - 14

Determine whether the two given lines are perpendicular. - $5 x + 7 y = 48$

Write the equation in slope-intercept form. - $5 x + 9 y = 37$

Solve the problem. -2x = 3y - 3 6y = 6 - 4x

Determine whether the given lines are parallel, perpendicular, or neither. -y = x + 7 x + y = 0

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope $- 3$ , through $( 3,2 )$

Write the equation in slope-intercept form. - $9 x + 7 y = 64$

Provide an appropriate response. -Find a linear function f(x) with slope -3 such that f(-9) = 6.

Determine whether the given lines are parallel, perpendicular, or neither. -y = 6x + 3 y = 6x - 2

Find the equation of a line with the given slope and y-intercept. -Slope $- \frac { 4 } { 5 } , \mathrm { y }$ -intercept $( 0,9 )$

Review of Real Numbers

Linear Equations

Systems of Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 3: Graphing Linear Equations